Finding the Third Proportional to 5,764.50 and 13,641.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,764.50 : 13,641.75 = 13,641.75 : x
2. Step 2: Convert to fraction form
   5,764.50/13,641.75 = 13,641.75/x
3. Step 3: Cross multiply
   5,764.50x = 13,641.75 × 13,641.75
4. Step 4: Simplify right side
   5,764.50x = 186,097,343.06
5. Step 5: Solve for x
   x = 186,097,343.06/5,764.50
6. Step 6: Final answer
   x = 32,283.35